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Explore the intricate connections between the Novikov conjecture, groups of diffeomorphisms, and Hilbert-Hadamard spaces in this 74-minute mathematical lecture presented by Jianchao Wu at BIMSA's ICBS2025 conference. Delve into advanced topics in differential topology and geometric group theory as Wu examines how these fundamental mathematical concepts intersect and influence each other. Gain insights into the theoretical framework surrounding the Novikov conjecture, understand the properties and applications of diffeomorphism groups, and discover the role of Hilbert-Hadamard spaces in modern mathematical research. This presentation offers a deep dive into cutting-edge mathematical theory suitable for researchers and advanced students in topology, differential geometry, and related fields.
